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Unformatted text preview: (see Exercise F1 on page 29 in the notes). An introduction to probability elements Preamble Contrary to physical laws, statistical laws are not deterministic in that you don’t know the outcome of a probabilistic experiment beforehand. Events are possible outcomes of a probabilistic experiment. The number associated with their chance of being observed is their probability . If A and B denote two events of the same probabilistic experiment, then 0 ≤ P(A), P(B) ≤ 1 Key note One does not work with events (which are like sets) as one works with probabilities (which are numbers in the interval [0, 1]). A different type of operators is required for events: union A U B, intersection A ∩ B, and complements A c , B c . Operators for probabilities are the classical arithmetic operators: . addition (+), difference (), product ( x ), and division by a nonzero quantity (/)....
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 Spring '08
 dutieulle
 Statistics, Probability, Regression Analysis, Probability theory, linear additive model

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